Solve 275/100*8/9

$$2 \frac{ 75 }{ 100 } \times \frac{ 8 }{ 9 }$$

Evaluate

$$\frac{22}{9}\approx 2.444444444$$

Solution Steps

Multiply 2 and 100 to get 200.

$$\frac{200+75}{100}\times \frac{8}{9}$$

Add 200 and 75 to get 275.

$$\frac{275}{100}\times \frac{8}{9}$$

Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$\frac{11}{4}\times \frac{8}{9}$$

Multiply \frac{11}{4} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 8}{4\times 9}$$

Do the multiplications in the fraction \frac{11\times 8}{4\times 9}.

$$\frac{88}{36}$$

Reduce the fraction \frac{88}{36} to lowest terms by extracting and canceling out 4.

$$\frac{22}{9}$$

Factor

$$\frac{2 \cdot 11}{3 ^ {2}} = 2\frac{4}{9} = 2.4444444444444446$$